Computational and numerical challenges in environmental modelling:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Amsterdam
Elsevier
c2006
|
Ausgabe: | 1st ed |
Schriftenreihe: | Studies in computational mathematics
13 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Many large mathematical models, not only models arising and used in environmental studies, are described by systems of partial differential equations. The discretization of the spatial derivatives in such models leads to the solution of very large systems of ordinary differential equations. These systems contain many millions of equations and have to be handled over large time intervals by applying many time-steps (up to several hundred thousand time-steps). Furthermore, many scenarios are as a rule to be run. This explains the fact that the computational tasks in this situation are enormous. Therefore, it is necessary to select fast numerical methods; to develop parallel codes and, what is most important when the problems solved are very large to organize the computational process in a proper way. The last item (which is very often underestimated but, let us re-iterate, which is very important) is the major topic of this book. In fact, the proper organization of the computational process can be viewed as a preparation of templates which can be used with different numerical methods and different parallel devices. The development of such templates is described in the book. It is also demonstrated that many comprehensive environmental studies can successfully be carried out when the computations are correctly organized. Thus, this book will help the reader to understand better that, while (a) it is very important to select fast numerical methods as well as (b) it is very important to develop parallel codes, this will not be sufficient when the problems solved are really very large. In the latter case, it is also crucial to exploit better the computer architecture by organizing properly the computational process. - Use of templates in connection with the treatment of very large models - Performance of comprehensive environmental studies - Obtaining reliable and robust information about pollution levels - Studying the impact of future climatic changes on high pollution levels - Investigating trends related to critical levels of pollution Includes bibliographical references (p. 333-356) and indexes |
Beschreibung: | 1 Online-Ressource (xviii, 373 p.) |
ISBN: | 9780444522092 0444522093 0080462480 9780080462486 |
Internformat
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100 | 1 | |a Zlatev, Zahari |d 1939- |e Verfasser |0 (DE-588)13264357X |4 aut | |
245 | 1 | 0 | |a Computational and numerical challenges in environmental modelling |c Zahari Zlatev, Ivan Dimov |
250 | |a 1st ed | ||
264 | 1 | |a Amsterdam |b Elsevier |c c2006 | |
300 | |a 1 Online-Ressource (xviii, 373 p.) | ||
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490 | 0 | |a Studies in computational mathematics |v 13 | |
500 | |a Many large mathematical models, not only models arising and used in environmental studies, are described by systems of partial differential equations. The discretization of the spatial derivatives in such models leads to the solution of very large systems of ordinary differential equations. These systems contain many millions of equations and have to be handled over large time intervals by applying many time-steps (up to several hundred thousand time-steps). Furthermore, many scenarios are as a rule to be run. This explains the fact that the computational tasks in this situation are enormous. Therefore, it is necessary to select fast numerical methods; to develop parallel codes and, what is most important when the problems solved are very large to organize the computational process in a proper way. The last item (which is very often underestimated but, let us re-iterate, which is very important) is the major topic of this book. | ||
500 | |a In fact, the proper organization of the computational process can be viewed as a preparation of templates which can be used with different numerical methods and different parallel devices. The development of such templates is described in the book. It is also demonstrated that many comprehensive environmental studies can successfully be carried out when the computations are correctly organized. Thus, this book will help the reader to understand better that, while (a) it is very important to select fast numerical methods as well as (b) it is very important to develop parallel codes, this will not be sufficient when the problems solved are really very large. In the latter case, it is also crucial to exploit better the computer architecture by organizing properly the computational process. | ||
500 | |a - Use of templates in connection with the treatment of very large models - Performance of comprehensive environmental studies - Obtaining reliable and robust information about pollution levels - Studying the impact of future climatic changes on high pollution levels - Investigating trends related to critical levels of pollution | ||
500 | |a Includes bibliographical references (p. 333-356) and indexes | ||
650 | 7 | |a SCIENCE / Environmental Science (see also Chemistry / Environmental) |2 bisacsh | |
650 | 7 | |a NATURE / Ecosystems & Habitats / Wilderness |2 bisacsh | |
650 | 7 | |a NATURE / Ecology |2 bisacsh | |
650 | 7 | |a SCIENCE / Life Sciences / Ecology |2 bisacsh | |
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650 | 7 | |a Environmental protection / Mathematical models |2 fast | |
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650 | 4 | |a Umweltschutz | |
650 | 4 | |a Ökologie | |
650 | 4 | |a Environmental protection |x Mathematical models | |
650 | 4 | |a Ecology |x Mathematical models | |
650 | 4 | |a Pollution |x Mathematical models | |
700 | 1 | |a Dimov, Ivan |d 1952- |e Sonstige |0 (DE-588)1043787461 |4 oth | |
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author | Zlatev, Zahari 1939- |
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author_variant | z z zz |
building | Verbundindex |
bvnumber | BV042317352 |
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dewey-full | 577.01/5118 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 577 - Ecology |
dewey-raw | 577.01/5118 |
dewey-search | 577.01/5118 |
dewey-sort | 3577.01 45118 |
dewey-tens | 570 - Biology |
discipline | Biologie |
edition | 1st ed |
format | Electronic eBook |
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spelling | Zlatev, Zahari 1939- Verfasser (DE-588)13264357X aut Computational and numerical challenges in environmental modelling Zahari Zlatev, Ivan Dimov 1st ed Amsterdam Elsevier c2006 1 Online-Ressource (xviii, 373 p.) txt rdacontent c rdamedia cr rdacarrier Studies in computational mathematics 13 Many large mathematical models, not only models arising and used in environmental studies, are described by systems of partial differential equations. The discretization of the spatial derivatives in such models leads to the solution of very large systems of ordinary differential equations. These systems contain many millions of equations and have to be handled over large time intervals by applying many time-steps (up to several hundred thousand time-steps). Furthermore, many scenarios are as a rule to be run. This explains the fact that the computational tasks in this situation are enormous. Therefore, it is necessary to select fast numerical methods; to develop parallel codes and, what is most important when the problems solved are very large to organize the computational process in a proper way. The last item (which is very often underestimated but, let us re-iterate, which is very important) is the major topic of this book. In fact, the proper organization of the computational process can be viewed as a preparation of templates which can be used with different numerical methods and different parallel devices. The development of such templates is described in the book. It is also demonstrated that many comprehensive environmental studies can successfully be carried out when the computations are correctly organized. Thus, this book will help the reader to understand better that, while (a) it is very important to select fast numerical methods as well as (b) it is very important to develop parallel codes, this will not be sufficient when the problems solved are really very large. In the latter case, it is also crucial to exploit better the computer architecture by organizing properly the computational process. - Use of templates in connection with the treatment of very large models - Performance of comprehensive environmental studies - Obtaining reliable and robust information about pollution levels - Studying the impact of future climatic changes on high pollution levels - Investigating trends related to critical levels of pollution Includes bibliographical references (p. 333-356) and indexes SCIENCE / Environmental Science (see also Chemistry / Environmental) bisacsh NATURE / Ecosystems & Habitats / Wilderness bisacsh NATURE / Ecology bisacsh SCIENCE / Life Sciences / Ecology bisacsh Ecology / Mathematical models fast Environmental protection / Mathematical models fast Pollution / Mathematical models fast Mathematisches Modell Umweltschutz Ökologie Environmental protection Mathematical models Ecology Mathematical models Pollution Mathematical models Dimov, Ivan 1952- Sonstige (DE-588)1043787461 oth http://www.sciencedirect.com/science/book/9780444522092 Verlag Volltext |
spellingShingle | Zlatev, Zahari 1939- Computational and numerical challenges in environmental modelling SCIENCE / Environmental Science (see also Chemistry / Environmental) bisacsh NATURE / Ecosystems & Habitats / Wilderness bisacsh NATURE / Ecology bisacsh SCIENCE / Life Sciences / Ecology bisacsh Ecology / Mathematical models fast Environmental protection / Mathematical models fast Pollution / Mathematical models fast Mathematisches Modell Umweltschutz Ökologie Environmental protection Mathematical models Ecology Mathematical models Pollution Mathematical models |
title | Computational and numerical challenges in environmental modelling |
title_auth | Computational and numerical challenges in environmental modelling |
title_exact_search | Computational and numerical challenges in environmental modelling |
title_full | Computational and numerical challenges in environmental modelling Zahari Zlatev, Ivan Dimov |
title_fullStr | Computational and numerical challenges in environmental modelling Zahari Zlatev, Ivan Dimov |
title_full_unstemmed | Computational and numerical challenges in environmental modelling Zahari Zlatev, Ivan Dimov |
title_short | Computational and numerical challenges in environmental modelling |
title_sort | computational and numerical challenges in environmental modelling |
topic | SCIENCE / Environmental Science (see also Chemistry / Environmental) bisacsh NATURE / Ecosystems & Habitats / Wilderness bisacsh NATURE / Ecology bisacsh SCIENCE / Life Sciences / Ecology bisacsh Ecology / Mathematical models fast Environmental protection / Mathematical models fast Pollution / Mathematical models fast Mathematisches Modell Umweltschutz Ökologie Environmental protection Mathematical models Ecology Mathematical models Pollution Mathematical models |
topic_facet | SCIENCE / Environmental Science (see also Chemistry / Environmental) NATURE / Ecosystems & Habitats / Wilderness NATURE / Ecology SCIENCE / Life Sciences / Ecology Ecology / Mathematical models Environmental protection / Mathematical models Pollution / Mathematical models Mathematisches Modell Umweltschutz Ökologie Environmental protection Mathematical models Ecology Mathematical models Pollution Mathematical models |
url | http://www.sciencedirect.com/science/book/9780444522092 |
work_keys_str_mv | AT zlatevzahari computationalandnumericalchallengesinenvironmentalmodelling AT dimovivan computationalandnumericalchallengesinenvironmentalmodelling |